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220221002220 = 223518120278177
BaseRepresentation
bin1100110100011000110…
…0011101000111101100
3210001102120200000210120
43031012030131013230
512102003034032340
6245100152204540
721624165430152
oct3150614350754
9701376600716
10220221002220
118543901848a
123681b699750
13179c772574b
14a9318953d2
155add7e74d0
hex334631d1ec

220221002220 has 48 divisors (see below), whose sum is σ = 620025570528. Its totient is φ = 58401146880.

The previous prime is 220221002219. The next prime is 220221002231. The reversal of 220221002220 is 22200122022.

220221002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220221002220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10128229 + ... + 10149948.

It is an arithmetic number, because the mean of its divisors is an integer number (12917199386).

Almost surely, 2220221002220 is an apocalyptic number.

220221002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221002220 is an abundant number, since it is smaller than the sum of its proper divisors (399804568308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220221002220 is a wasteful number, since it uses less digits than its factorization.

220221002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20278370 (or 20278368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220221002220 its reverse (22200122022), we get a palindrome (242421124242).

The spelling of 220221002220 in words is "two hundred twenty billion, two hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 20278177 40556354 60834531 81112708 101390885 121669062 202781770 243338124 304172655 405563540 608345310 1216690620 3670350037 7340700074 11011050111 14681400148 18351750185 22022100222 36703500370 44044200444 55055250555 73407000740 110110501110 220221002220